A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces
We introduce an iterative method for finding a common element of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of a variational inclusion with set-valued maximal monotone mapping, and inverse strongly monotone mappings and the set of solutions of...
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th-mahidol.277772018-09-13T13:47:45Z A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces Somyot Plubtieng Wanna Sriprad Naresuan University Mahidol University Mathematics We introduce an iterative method for finding a common element of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of a variational inclusion with set-valued maximal monotone mapping, and inverse strongly monotone mappings and the set of solutions of an equilibrium problem in Hilbert spaces. Under suitable conditions, some strong convergence theorems for approximating this common elements are proved. The results presented in the paper improve and extend the main results of J. W. Peng et al. (2008) and many others. 2018-09-13T06:47:45Z 2018-09-13T06:47:45Z 2009-09-02 Article Fixed Point Theory and Applications. Vol.2009, (2009) 10.1155/2009/567147 16871812 16871820 2-s2.0-69249220344 https://repository.li.mahidol.ac.th/handle/123456789/27777 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=69249220344&origin=inward |
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Mathematics Somyot Plubtieng Wanna Sriprad A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces |
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We introduce an iterative method for finding a common element of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of a variational inclusion with set-valued maximal monotone mapping, and inverse strongly monotone mappings and the set of solutions of an equilibrium problem in Hilbert spaces. Under suitable conditions, some strong convergence theorems for approximating this common elements are proved. The results presented in the paper improve and extend the main results of J. W. Peng et al. (2008) and many others. |
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Naresuan University |
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Naresuan University Somyot Plubtieng Wanna Sriprad |
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Article |
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Somyot Plubtieng Wanna Sriprad |
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Somyot Plubtieng |
title |
A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces |
title_short |
A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces |
title_full |
A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces |
title_fullStr |
A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces |
title_full_unstemmed |
A viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in Hilbert spaces |
title_sort |
viscosity approximation method for finding common solutions of variational inclusions, equilibrium problems, and fixed point problems in hilbert spaces |
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2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/27777 |
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1763493236199915520 |